Find the Inverse Matrix of $\left[\begin{array}{ccc}9 & -3 & 5 \\-3 & 1 & -5\end{array}\right]$

question 32

Multiple Choice

Find the inverse matrix of .

• A) Not invertible
• B) \(\left[\begin{array}{ccc} 9 & -3 & 5 \\ -3 & 1 & -5 \end{array}\right]\)
• C) \(\left[\begin{array}{ccc} 1 / 9 & -1 / 3 & 1 / 5 \\ -1 / 3 & 1 & -1 / 5 \end{array}\right]\)
• D) \(\left[\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 1 \end{array}\right]\)
• E) \(\left[\begin{array}{cc} 9 & -3 \\ -3 & 1 \\ 5 & -5 \end{array}\right]\)

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Definitions:

Attribution Theory

A psychological theory that seeks to explain how individuals infer the causes of their own and others' behavior, attributing them to internal dispositions or external situations.

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A psychological theory that explains the discomfort that arises from holding two conflicting beliefs simultaneously, leading individuals to change their attitudes, beliefs, or behaviors to reduce the discomfort.

Role-Playing Theory

A theory that suggests individuals adopt certain behaviors or attitudes when they are assigned specific roles, influencing their social interactions and identity.

Racial Bias

A form of prejudice that results in the unjust favoring or disadvantaging of individuals based on race.